Interactive Quadratic Function Graph Plotter

This GeoGebra example demonstrates how to interactively plot the graph of a quadratic function (parabola) and allows users to dynamically adjust function parameters through input boxes and buttons, observing real-time changes in the graph. The core mathematical concepts include the standard form of a quadratic function, vertex, axis of symmetry, direction of opening, and the relationship between coefficients and the graph. In terms of construction, the example uses commands such as Textfield, Point, and Intersect, and creates multiple input boxes (InputBox1 to InputBox5), buttons (button1, button2), and text objects (text1 to text17) for entering coefficients, displaying results, and triggering updates. It is suitable for middle and high school mathematics teaching, helping students intuitively understand the properties of quadratic functions, and can be used for classroom demonstrations or student self-exploration. By adjusting parameters a, b, and c, students can observe how the parabola translates, stretches, and flips, deepening their understanding of function graph transformations.